Alternative descriptions and bipartite compound quantum systems

Abstract

We analyze some features of alternative Hermitian and quasi-Hermitian quantum descriptions of simple and bipartite compound systems. We show that alternative descriptions of two interacting subsystems are possible if and only if the metric operator of the compound system can be obtained as tensor product of positive operators on component spaces. Some examples also show that such property could be strictly connected with symmetry properties of the non-Hermitian Hamiltonian.

submitted to J. Phys. A

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• Entanglement Efficiencies in PT-Symmetric Quantum Mechanics
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• Entanglement between uncoupled modes with time-dependent complex frequencies
• Remarks on the preservation of no-signaling principle in parity-time-symmetric quantum mechanics
• Entanglement capabilities of the spin representation of (3+1)D-conformal transformations
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• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets